78. 33. respectively. 629 D. The upper and lower bases of the frustum of a rectangular pyramid are 3 m by 4 m and 6 m by 8 m. 10:16 am C. Compute the value of the coefficient of friction between the block and the horizontal surface.28 B. 7 C. 0. 6 B. What is the length of its latus rectum? A. A. 0694 m/s^2 B. What is the difference between the sums of an annuity due and an ordinary annuity for the following data: Periodic payment = P100. straight-line method B.6 B. 196. What method of depreciation was used? A. 5 3. 41. he would arrived at B one minute
.C. 000 with an economic life of 6 years and a salvage value of P50. 6.79 D. SOYD method D.085m/s^2 D.359.5 B. form a harmonic progression? A.5 C. 1 9. 0. If its altitude of 15 cm find its volume in cc: A.5kph. 1.6 m D. 5 D. 163. What is the perimeter of the triangle? A. units B. 20. 4.5 D. sinking-fund method C. 187. He arrived office B 12 seconds late. Find the area enclosed by the following curve: x^2 + y^2 – 10x – 10y + 25 = 0 A. 714.22 25. 10:13 am B.5 m has its axis vertical. Had he started at A at 9:00 am and walked at 1.74 units C.36
before the required time. 0. Find the area of the spherical triangle ABC having the following parts: Angle A = 140 degrees Angle B = 75 degrees Angle C = 86 degrees Radius of sphere = 4 m A. P753.34 C. What is
MATHEMATICS CIVIL ENGINEERING BOARD MAY 2004
1. units D. 10:18 am 2.7 D.4 C. A horizontal platform with radius of 2.5 m C. 242. 000 Terms = 20 years Payment intervals = 1 year Interest rate = 12% compounded annually A. 1.18 D. 10:22 am D. one investment plan will generate profit at the rate of 50 + t^2 thousand pesos per year. If the volume of the solid is 140 m^3. 1. 7. 6x – 4y + 11 = 0 D. A closed conical vessel with base radius of 1 m and an altitude 2. Find the equation of the line with slope of 2/3 and which passes through point of intersection of the lines 4x – 2y + 1 = 0 and x – 2y + 4 = 0.6 7. while a second investment plan will generate 200 + 5t thousand pesos per year. 29.41 C. In upright position (vertex uppermost). 458 23.55 sq. 23. 85. 1/10. The cost of the money is 12% per year. At what time was he supposed to be at B? A. 174.049m/s^2 26. 0. 0. units C. the depth of the water in it is 50 cm. how deep is the water in it? A.21 D. The normal acceleration at the edge of the platform is: A. 0.45 units B. 34. 70 degrees). 0. 1. 1/x. Determine the coefficient of friction between the block and the surface. 26.14% 22. 6x – 4y + 9 = 0 C.5kph. 8 D. A. 0. declining balance method 24. 4x – 6y + 11 = 0 8. 7. What is the value of x if 1. P657.421.47% D. units 10.032 m/s^2 C. 95.78 B.5 5.74 units 11. A. A triangle have vertices at (0. 0. A 15kg block impends to move along a horizontal surface when a pull of 40N is applied on it at an angle of 50degrees with the horizontal. 000. At t years from now. 68. 3.47 sq. A salesman started walking from office A at 9:30am at the rate of 2. P864. 732 B. 1. 32. (9. A right prism has a base in the shape of regular octagon inscribed in a square 10 cm by 10 cm. 4x – 6y + 9 = 0 B. ….14 C.8 m B.85 units D. A horizontal force of 250 N pushes a flatbottomed 600 N block on a horizontal surface from rest to a velocity of 22 m/s after traveling 120 m. The first year depreciation is P105.75 C. how far apart are the bases? A. 0). 432 C.8 m 6. 0. Given the curve 36x^2 + 9y^2 – 36 = 0.26 B.6 B.61 sq.56 4. 204. ¼. 0. An equipment is bought at P420. 0.5 m rotates about its center at a constant angular speed of 10 rad / min. P965. (6. 0. If the vessel was inverted (vertex lowermost).53 sq. 0. 30 degrees).

54 D.25 m cut. 6. 383. 95. 29 C.5 m 22. The bumpers got locked after the collision.712 19. What is the velocity of the cars immediately after impact? A. At every turning point. P32. A rectangular lot has a correct area of two hectares.35 C. 500 C. Find the correct elevation of point 6 based on its recorded elevation of 386. When will the ball fall back to the ground? A. P1.8-ton car moving in the same direction with a velocity of 20 km per hr. 15. in clockwise direction.758 D. A. 0.34 B.6 sec C.02 m too long. a dividing line runs to D which is on side AC. 45.97 m 27. 7.280. 687. At Sta. If the money is worth 8%. P1.06 B. bounded by the following surfaces: x = 1 and x^2 = y + 2z A.554 B. connects the gradelines from A at the downgrade to B at the upgrade. P1. 26 B.88 sq.25 min 18. 643. 5 + 420 it is 1. and AC 190 m long. 349. 0.00 What is the profit per month if the factory has an efficiency of 80%? A. An iron ball is projected upward with a velocity of 300 m/s at an angle of 30 degrees from the level ground. 24.6 percent at Sta.000 C. compute the error in the area of the lot in sq.0032 C.000 at the end of its economic life of 10 years. A curved road 74 m in radius has a superelevation of 0. boat Q left the port in the direction N 45 degree E at 26 knots. A. At present value of an annuity of R pesos payable annually for 10 years.514 m C. 486. P1.00 Material and labor cost = P200. 24 17. Determine the coefficient of friction between the tires and the pavement. 73 + 180 where the elevation is 998.87 m D. 2.2 percent meets a rising grade of 4. An equipment costing P200.56 24.85 B. BC = 5 m. A downgrade of 3.12 and a design speed of 80 kph. 93. 1008 m B. from Sta. A 1.07 D.5 m 14.000 has an estimate scrap value of P25. 30. Determine the value of its second derivative at x = 1. A sag curve. 100 12. At 5:00 am.000 20.000 D.
A.9904 B. The ground slopes uniformly at -5% from Sta.701. 44. 94. P25. Use arc basis. 1014 m 26. 1. 5. The fixed and variable cost are as follows: Fixed monthly operating cost = P800. Find the volume in the first octant. If the lengths of the two sides were measured with a 50-m tape that is 0. 28 D.30. The area of ADE is to be 2/5 of the total area of the lot. P35. 35 D. A line of levels was run from point 5 to point 6. 72.9995 D.. 38. A shoes factory has a production capacity of 9000 units per month. 0. 8 km apart. Find the elevation of B in meters. Express your answer in knots.475 m B. with the first payment at the end of 10 years is P100. 0.79 m B. in meters. m.00 per unit Selling price per unit = P500.24 m C.952 C. P15. 1. The center height of the road at Sta.450.45 C.7 m B. 0. 1. 34 C. 440 m long. From point E. A.08 C. Find the degree of curve of a central simple curve if it has a spiral curve of 100 m long on two sides. on which a car traveling at 75 kph will not skid. A. 7. and AC = 9 m. P1.2 m D.37 m
. 5 + 320. 0.000 D. 100 m from A and on side AB. with the longer side of the rectangle along the 9-m side? A. what is its book value after eight years of service? A.000 B. Calculate the length of DE if the total area is 11. A. A. 4. 384. 1005 m D. 70. 92. boat R left the same port in the direction S 30 degree E at 32 knots. P1. 384. P33. What is the width of the largest rectangle that can be inscribed in it.000 B.the net excess profit if you invest in the second plan instead of the first plan up to the time the two plans yield equal profits? A.2 ton car moving at 30 km per hour bumps the rear of a 1. 16. 6.31 B.61 C. At 5:30 am. m.63 m B.0003 23. 383. A.63 D. A. P1.3 m C. 33 13. 0. BC. Using the Double-Declining Balance Method of depreciation.934 m D. A lot is bounded by the following three straight sides: AB N 45 degrees E 160 m long. P30. P1.540.55 D. 5 + 320 is 4. 1011 m C. How far.000.25 m C. the rod settles by 3 cm. 532.8 sec B. The average backsight and also foresight distance was 100 m. 5 + 420 will the excavation extend? A.360. Triangle ABC have sides measuring AB = 7 m. 73. what is the value of R. Given the function y = x(x + 1)^3. P20. 58.8 m fill. 4. 71.000 C.83 m D. 0.65 25. 55. P34. 36 B. 200 D. 200 B.58 15. Its length is twice its width.000 21.05 16. How fast are the two boats separating at 6:00 am. 5 + 320 toward Sta.3 sec D.